Custodial supersymmetry in non-supersymmetric quiver theories

TL;DR

This paper explores non-supersymmetric quiver gauge theories derived from orbifolding N=4 supersymmetric theories, revealing a custodial supersymmetry that ensures fermion-boson mass degeneracy despite the absence of full supersymmetry.

Contribution

It demonstrates the existence of a custodial supersymmetry in non-supersymmetric quiver theories, explaining fermion-boson degeneracy and absence of quadratic divergences.

Findings

No one-loop quadratic divergences in the effective potential.

Identification of custodial supersymmetry in broken gauge groups.

Fermion-boson mass degeneracy due to custodial supersymmetry.

Abstract

We consider non-supersymmetric quiver theories obtained by orbifolding the N=4 supersymmetric U(K) gauge theory by a discrete Z_\Gamma group embedded in the SU(4) R-symmetry group. We explicitly find that in such theories there are no one-loop quadratic divergences in the effective potential. Moreover, when the gauge group U(n)^\Gamma of the quiver theory is spontaneously broken down to the diagonal U(n), we identify a custodial supersymmetry which is responsible for the fermion-boson degeneracy of the mass spectrum.